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Finding the Fourth Proportional to 1,232.35, 1,847.00 and 501.53

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Solution

The fourth proportional to 1,232.35, 1,847.00 and 501.53 is: 751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.35 : 1,847.00 = 501.53 : x
  2. Step 2: Convert to fraction form
    1,232.35/1,847.00 = 501.53/x
  3. Step 3: Cross multiply
    1,232.35x = 1,847.00 × 501.53
  4. Step 4: Simplify right side
    1,232.35x = 926,317.93
  5. Step 5: Solve for x
    x = 926,317.93/1,232.35
  6. Step 6: Final answer
    x = 751.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.